Question

(5-2root 6)³+(5+2root 6)³​

Answer 1

Step-by-step explanation:

Let,

a=5-2(6)^1/2

b=5+2(6)^1/2

:.(a)^3+(b)^3=(a+b)^3-3ab(a+b)

=(5-2(6)^1/2+5+2(6)^1/2)^3-3{(5-2(6)^1/2)(5+2(6)^1/2}(5-2(6)^1/2+5+2(6)^1/2)

=(10)^3-3{(5)^2-(2(6)^1/2)^2}(10)

=1000-3{25-(4×6)}10

=1000-30{25-24}

=1000-30×1

=1000-30

=970